Question

Alejandro was picked by his teacher to find the integer that has the square root closest to 7without going over He wrote 52 on the boardWas he correct ? Explain your reasoning.

Answer 1

Yes, he is correct.

Here is the explanation

Since,

`\begin{gathered} √(49)=7 \\ √(64)=8 \\ \\ \text{ since }49<57<64\Rightarrow√(49)<√(52)<√(64) \end{gathered}`

Hence,

`7<√(52)`